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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 58 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.What is the mean of 17, 6, 7 and 18? (a) 13 (b) 16 (c) 11 (d) 12
  2. 2.What is the mode of 12, 15, 9, 15, 12, 5 and 15? (a) 12 (b) 5 (c) 15 (d) 9
  3. 3.What is the median of 21, 24, 13, 18 and 11? (a) 21 (b) 19 (c) 18 (d) 13
  4. 4.The mean of 5 numbers is 19. When the number 25 is added to them, what is the new mean? (a) 20 (b) 22 (c) 19 (d) 21
  5. 5.What is the mode of 17, 17, 10, 10, 11, 17 and 19? (a) 10 (b) 17 (c) 19 (d) 11
  6. 6.What is the mode of 2, 10, 2, 10, 17, 19 and 2? (a) 10 (b) 17 (c) 2 (d) 19
  7. 7.What is the mode of 16, 2, 2, 12, 2, 8 and 16? (a) 2 (b) 12 (c) 8 (d) 16
  8. 8.What is the mean of 4, 20, 13 and 7? (a) 13 (b) 11 (c) 10 (d) 12
  9. 9.The mean of 5 numbers is 29. When the number 47 is added to them, what is the new mean? (a) 38 (b) 33 (c) 32 (d) 29
  10. 10.What is the median of 34, 8, 28, 6 and 38? (a) 34 (b) 28 (c) 8 (d) 29
  11. 11.What is the mean of 20, 12, 15 and 5? (a) 15 (b) 13 (c) 12 (d) 14
  12. 12.What is the mode of 13, 3, 3, 13, 3, 10 and 11? (a) 11 (b) 10 (c) 13 (d) 3
  13. 13.What is the mean of 2, 20, 2, 2 and 14? (a) 10 (b) 9 (c) 8 (d) 7
  14. 14.The mean of 3 numbers is 33. When the number 29 is added to them, what is the new mean? (a) 31 (b) 34 (c) 32 (d) 33
  15. 15.What is the median of 4, 12, 15, 25 and 21? (a) 15 (b) 16 (c) 21 (d) 12
  16. 16.What is the mean of 11, 13, 6 and 14? (a) 13 (b) 12 (c) 11 (d) 10
  17. 17.What is the mean of 12, 13, 20 and 15? (a) 12 (b) 15 (c) 20 (d) 16
  18. 18.What is the mode of 20, 2, 10, 1, 20, 20 and 1? (a) 2 (b) 10 (c) 1 (d) 20
  19. 19.What is the median of 31, 4, 11, 23, 5, 1 and 10? (a) 11 (b) 23 (c) 5 (d) 10
  20. 20.The mean of 6 numbers is 38. When the number 31 is added to them, what is the new mean? (a) 36 (b) 39 (c) 38 (d) 37
  21. 21.The mean of 3 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 34 (b) 33 (c) 37 (d) 29
  22. 22.What is the mean of 19, 18, 16, 11 and 11? (a) 16 (b) 14 (c) 15 (d) 17
  23. 23.The mean of 3 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 8 (b) 10 (c) 9 (d) 6
  24. 24.What is the mode of 8, 13, 1, 20, 20, 20 and 1? (a) 1 (b) 8 (c) 13 (d) 20
  25. 25.What is the mode of 13, 18, 13, 12, 13, 12 and 15? (a) 13 (b) 12 (c) 18 (d) 15
  26. 26.The mean of 4 numbers is 28. When the number 43 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 28
  27. 27.What is the mode of 10, 1, 10, 1, 18, 11 and 1? (a) 11 (b) 1 (c) 18 (d) 10
  28. 28.What is the mean of 11, 20, 10, 18, 19 and 18? (a) 15 (b) 18 (c) 17 (d) 16
  29. 29.What is the mean of 2, 10, 2, 9, 14 and 11? (a) 8 (b) 9 (c) 10 (d) 7
  30. 30.What is the median of 25, 6, 24, 16, 31, 4 and 15? (a) 24 (b) 15 (c) 17 (d) 16
  31. 31.What is the mode of 10, 9, 14, 10, 13, 10 and 9? (a) 13 (b) 10 (c) 14 (d) 9
  32. 32.What is the mode of 4, 4, 17, 6, 6, 4 and 20? (a) 20 (b) 6 (c) 17 (d) 4
  33. 33.What is the median of 1, 6, 28, 23 and 5? (a) 5 (b) 6 (c) 23 (d) 28
  34. 34.What is the mean of 17, 2, 6, 7, 17 and 17? (a) 12 (b) 10 (c) 11 (d) 13
  35. 35.What is the mean of 13, 7, 3, 3, 18 and 10? (a) 9 (b) 8 (c) 10 (d) 11
  36. 36.What is the mode of 4, 3, 6, 5, 4, 4 and 6? (a) 6 (b) 5 (c) 4 (d) 3
  37. 37.What is the mean of 18, 16, 2, 11, 16 and 15? (a) 14 (b) 15 (c) 12 (d) 13
  38. 38.What is the mode of 8, 5, 8, 13, 8, 18 and 13? (a) 8 (b) 18 (c) 5 (d) 13
  39. 39.The mean of 3 numbers is 33. When the number 37 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 36
  40. 40.The mean of 7 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 35 (b) 32 (c) 33 (d) 23

Answer key

  1. 12
  2. 15
  3. 18
  4. 20
  5. 17
  6. 2
  7. 2
  8. 11
  9. 32
  10. 28
  11. 13
  12. 3
  13. 8
  14. 32
  15. 15
  16. 11
  17. 15
  18. 20
  19. 10
  20. 37
  21. 33
  22. 15
  23. 8
  24. 20
  25. 13
  26. 31
  27. 1
  28. 16
  29. 8
  30. 16
  31. 10
  32. 4
  33. 6
  34. 11
  35. 9
  36. 4
  37. 13
  38. 8
  39. 34
  40. 32

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